Let X 1 and X 2 be subspaces of quotients of R ⊕ OH and C ⊕ OH respectively. We use new free probability techniques to construct a completely isomorphic embedding of the Haagerup tensor product X 1 ⊗ h X 2 into the predual of a sufficiently large QWEP von Neumann algebra. As an immediate application, given any 1 < q ≤ 2, our result produces a completely isomorphic embedding of ℓq (equipped with...

The k-essence theory is a prototypical class of scalar-field models that already gives rich phenomenology and has been target extensive studies in cosmology. General forms shift-symmetric are known to suffer from formation caustics planar-symmetric configuration, with the only exceptions canonical DBI-/cuscuton-type kinetic terms. With this mind, we seek for multi-field caustic-free completions...

There exist precisely 914, 58 and 46 equivariant types of tile-transitive tilings of 3-dimensional euclidean space by topological cubes, oc-tahedra and tetrahedra, that fall into 11, 3, and 9 topological families, respectively. Representatives are described for all topological families. A general method for obtaining results of this kind is introduced.

We develop a systematic framework for studying target space duality at the classical level. We show that target space duality between manifolds M and M̃ arises because of the existence of a very special symplectic manifold. This manifold locally looks like M×M̃ and admits a double fibration. We analyze the local geometric requirements necessary for target space duality and prove that both manifol...

Chiral polyhedra in ordinary euclidean space E3 are nearly regular polyhedra; their geometric symmetry groups have two orbits on the flags, such that adjacent flags are in distinct orbits. This paper completely enumerates the discrete infinite chiral polyhedra in E3 with finite skew faces and finite skew vertex-figures. There are several families of such polyhedra of types {4, 6}, {6, 4} and {6...